Probing for electrical inclusions with complex spherical waves

  title={Probing for electrical inclusions with complex spherical waves},
  author={Takanori Ide and Hiroshi Isozaki and Susumu Nakata and S. Siltanen},
Let a physical body Ω in R2 or R3 be given. Assume that the electric conductivity distribution inside Ω consists of conductive inclusions in a known smooth background. Further, assume that a subset Γ ⊂ ∂Ω is available for boundary measurements. It is proved using hyperbolic geometry that certain information about the location of the inclusions can be exactly recovered from static electric measurements on Γ. More precisely: given a ball B with center outside the convex hull of Ω and satisfying… CONTINUE READING
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Recovery of pointwise sources or small inclusions in 2D domains and rational approximation

L. Baratchart, A. B. Abda, F. B. Hassen, J. Leblond
Inverse Problems • 2005

Electrical impedance tomography and Mittag-Leffler’s function

M. Ikehata, S. Siltanen
Inverse Problems • 2004

Hyperbolic geometry and the local Dirichlet-to-Neumann map

H. Isozaki, G. Uhlmann
Advances in Math • 2004

Image Reconstruction in Three-Dimensional Electrical Impedance Tomography

P. Vauhkonen
Doctoral dissertation, • 2004

Mittag-Leffler’s function and extracting from Cauchy data

M. Ikehata
Contemporary Mathematics (Inverse Problems and Spectral Theory, ed. H. Isozaki) • 2004

Reconstruction of the potential from partial Cauchy data for the Schrödinger equation

H. Ammari, G. Uhlmann
Indiana Math. J • 2004

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